SVG file with curve modifier possible with curves?
I don't think you can achieve this if your logo is a curve, I guess you need to convert it to a mesh, so:


Delete the Curve modifier.
Convert your curve to mesh with an altC > Mesh from Curve.
To clean your mesh, go in Edit mode and press X > Limited Dissolve.
Now as your mesh is supposed to bend you need to give it back a higher topology, you'll use the Remesh modifier (maybe there's a better way though).
Extrude your mesh with E.
Give it the Remesh modifier with Octree Depth > 8 and deactivate Remove Disconnected Pieces.
Apply the modifier. Now you have a high poly. Only keep the top surface.
You can give your object a Curve modifier with the curve as Object. It works.